Gradians to Radians Converter
Convert gradians (gons) (gon) to radians (rad), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 gon = 0.0157079632679 rad
- 1 × 0.0157079632679 = 0.0157079632679 rad
How to convert gradians to radians
1 gon = 0.0157079632679 rad, so multiply by 0.0157079632679 to go from gradians (gons) to radians. Going the other way, 1 rad = 63.6619772368 gon.
rad = gon × 0.0157079632679 gon = rad × 63.6619772368
Worked example:
1 gon = 0.0157079632679 rad 5 × 0.0157079632679 = 0.0785398163397 rad
Gradians to radians table
| Gradians | Radians |
|---|---|
| 1 gon | 0.0157079632679 rad |
| 2 gon | 0.0314159265359 rad |
| 3 gon | 0.0471238898038 rad |
| 4 gon | 0.0628318530718 rad |
| 5 gon | 0.0785398163397 rad |
| 6 gon | 0.0942477796077 rad |
| 7 gon | 0.109955742876 rad |
| 8 gon | 0.125663706144 rad |
| 9 gon | 0.141371669412 rad |
| 10 gon | 0.157079632679 rad |
| 15 gon | 0.235619449019 rad |
| 20 gon | 0.314159265359 rad |
| 25 gon | 0.392699081699 rad |
| 30 gon | 0.471238898038 rad |
| 40 gon | 0.628318530718 rad |
| 50 gon | 0.785398163397 rad |
| 75 gon | 1.1780972451 rad |
| 100 gon | 1.57079632679 rad |
| 250 gon | 3.92699081699 rad |
| 500 gon | 7.85398163397 rad |
| 1000 gon | 15.7079632679 rad |
About the units
- Gradians (gon)
- Gradians (gons), a specialised unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: NIST SP 811 Appendix B.8, factors for units listed alphabetically.
- Radians (rad)
- Radians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).